No, but your networking hardware can decide that Overwatch is using too much data and shut down the connection to protect itself. Look for flood settings on your router, especially if you’re using a netgear. Then, make sure you don’t have flood protection enabled on a local firewall like BullGuard or another antivirus for Overwatch. You can also find help on a few reddit threads for this exact issue, but it’s not the Overwatch client itself.